Question: Could you please help me with this question plz , and explain how it works thank you. Q4 [MATH7861 only] A perfect square is an

Could you please help me with this question plz , and explain how it works thank you.

Q4 [MATH7861 only] A perfect square is an integer of the form n2 where n E Z. ) What possible remainders do perfect squares leave when divided by 3? What possible remainders do perfect squares leave when divided by 4? V What possible remainders do perfect squares leave when divided by 8? V (a (b (c (d) Find all solutions a,b E N to the equation 2'1 = b2 5, and prove that there are no more solutions other than the ones that you found. Hint: Your answers to {a}, (6} and/or (0] might come in useful

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